System of equations:2y+2x+12=180 y+6+4x=180
x=30
y=54
Practice makes perfect
To solve this, let's extend the sides of the trapezoid like below:
If we consider the non-parallel lines as transversals, we see that 2y^(∘) and (2x+12)^(∘) are consecutive interior angles and so are 4x^(∘) and (y+6)^(∘)
According to the Consecutive Interior Angles Theorem, such angles are supplementary. Therefore we can write the following equations
2y+2x+12&=180
y+6+4x&=180
If we combine these equations we get a system of equations that we can solve by Method of Elimination.
